#### Question

A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?

#### Solution

When a coin is tossed, the possible outcomes are head (H) and tail (T).

When a die is thrown, the possible outcomes are 1, 2, 3, 4, 5, or 6.

Thus, the sample space of this experiment is given by:

S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}

Is there an error in this question or solution?

Solution A Coin is Tossed. If the Out Come is a Head, a Die is Thrown. If the Die Shows up an Even Number, the Die is Thrown Again. What is the Sample Space for the Experiment? Concept: Random Experiments.